$a_n=5^n{9}^{-n}$

$\underset{n}{lim}{a}_n=$

$$

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$2.[-/1\mathrm{.}5$ Points$]$

Determine whether the sequence converges or diverges. If it converges, find the limit$.($If the sequence diverges, enter DIVERGES.$)$

$\underset{n}{lim}{a}_n=\frac{\{n^2{e}^{-3n}\}}{?}$

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$3.[-/1\mathrm{.}5$ Points$]$

Determine whether the geometric series is convergent or divergent.

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